Which rule describes the composition of transformations that maps triangle BCD to triangle B""C""D""?

Answer:

(d)

Step-by-step explanation:

Given

See attachment for [tex]\triangle BCD[/tex] and [tex]\triangle B"C"D"[/tex]

Required

The transformations

Using B and B"" as points of reference, we have:

[tex]B = (1,4)[/tex]

[tex]B"" = (5,-1)[/tex]

The transformation is as follows:

First, reflect across y axis.

The rule is:

[tex](x,y) \to (-x,y)[/tex]

So, we have:

[tex]B(1,4) \to B'(-1,4)[/tex]

Next, translate 6 units right.

The rule is:

[tex](x,y) \to (x + 6,y)[/tex]

So, we have:

[tex]B' (-1,4) \to B"(-1 + 6,4)[/tex]

[tex]B' (-1,4) \to B"(5,4)[/tex]

Lastly, translate 5 units down

The rule is:

[tex](x,y) \to (x,y-5)[/tex]

So, we have:

[tex]B"(5,4) \to (5,4-5)[/tex]

[tex]B"(5,4) \to (5,-1)[/tex]

Hence; (d) is correct

Find the volume of the rectangular prism below.

A sequence is defined by the rule a= -3(2) n-1 . What is the 5th term of the sequence

what is the horizontal line called

Solve for x
[tex]2x + 5 = 15[/tex]
​

EASY QUESTION**

Just give me any equation with two turning points and intercepts the x axis three times

PROBABILITY QUESTION (Data) please help

4 cards are taken out of a standard deck (52 cards). What is the probability that the 4th card is a red face card, or a jack given that the jack of diamonds is the first card selected, the queen of hearts is the second card selected, and the third card is the 3 of diamonds?

PLS HELP!!
Find the length of AB.

The box plots show the data distributions for the number of customers who used a coupon each hour during a two-day sale.



Which measure of variability can be compared using the box plots?



interquartile range



standard deviation



mean



median

Given the follow set of data, draw a scatter plot of the data, approximate the line of best fit, and estimate y when x = 20.



x| 3 7 10 15 18

---------------------------------------------

y|16 45 82 102 116

The perimeter of a chalkboard is 14 feet. The board is 4 feet long. How tall is it?
feet

5x - 4 = 10 improper fraction simpilest form

i need help with this plsss

A sphere with a diameter of 14 inches.
What is the appoximate surface area of the sphere? Use 22/7
for π. in²

Find the area. Round to the nearest tenth.

giving brainliest! help me pls

Find the area of the triangle

A. 12 Square units
B. 5.5 square units
C. 24 Square units
D. 11 Square units

50 POINTS pleaseee help its URGENT!!!! Ill give brainlist and if there all right i might send u 20 dollars!!! Pleasee help me!!

HELP ME FOR BRAINLESS Mr. Erikson plans to tile the floor of the hallway in a school, as shown in the
diagram below. Intersecting sides of the diagram meet at right angles.
O
150
14 ft
5 ft
O
154
O
162
15 ft
O
174
CLEAR ALL
Bft
The tiles are squares measuring one foot on each side. What is the
minimum number of tiles that Mr. Erikson needs in order to tile the floor?

Write the equation of the line graphed at the right.

plz help i have been asking thus asking this question for too long

Find the volume of the figure below. Round your answer to the nearest hundredth if necessary,
8 mi
6 mi
8 mi
4.3 mi
11 mi
97.3 mi?
Ob
177.8 mi?
255.5 mi?
Od
189.2 mi?

Angle α is acute such that cos α = 53
Angle β is obtuse such that sin β = 12
(a) Find the exact value of
(i) tan α
(ii) tan β
(b) Hence show that
tan(α + β) = (m rt3 − n) / (n rt3 + m)
where m and n are positive integers whose values are to be found.

PLSS HELP IMMEDIATELY!!!! ILL MARK BRAINIEST IF U DONT LEAVE A LINK OR GUESS!!!

The temperature in Baku, Azerbaijan dropped over five hours from zero degrees Fahrenheit to negative fifteen degrees Fahrenheit. If the temperature dropped the same amount each hour, how much did the temperature change each hour?

A 16-cup container of laundry detergent costs $13.60. What is the price per quart?

David has $520 to spend at a bicycle store for some new gear and biking outfits.
Assume all prices listed include tax.
• He buys a new bicycle for $303.93.
• He buys 4 bicycle reflectors for $10.99 each and a pair of bike gloves for $25.25.
• He plans to spend some or all of the money he has left to buy new biking outfits
for $73.43 each.
Write and solve an inequality which can be used to determine x, the number of
outfits David can purchase while staying within his budget.

Find 2.1 x 32
Find 2.3 x 5.8
Find 7.5 x 23.4

Suppose that the endpoints of the hypotenuse of a 30-60-90 triangle are (4, -2) and (7,2). Find the lengths of the
two legs of the triangle.

answer this for brainilest and 11 points

Find the gradient of the line segment between the points (-2,7) and (1,5).
Give your answer in its simplest form.